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Finding the Third Proportional to 133,383 and 314,864

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Solution

The third proportional to 133,383 and 314,864 is: 743,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,383 : 314,864 = 314,864 : x
  2. Step 2: Convert to fraction form
    133,383/314,864 = 314,864/x
  3. Step 3: Cross multiply
    133,383x = 314,864 × 314,864
  4. Step 4: Simplify right side
    133,383x = 99,139,338,496
  5. Step 5: Solve for x
    x = 99,139,338,496/133,383
  6. Step 6: Final answer
    x = 743,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.